Soft Collinear Degeneracies in an Asymptotically Free Theory

Details Soft Collinear Degeneracies in an Asymptotically Free Theory Soft Collinear Degeneracies in an Asymptotically Free Theory

2010-08-24

arxiv.org/abs/1008.3949v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages with embedded figures in LaTeX

Scientific paper

In asymptotically free theories with collinear divergences it is sometimes claimed that these divergences cancel if one sums over initial and final state degenerate cross-sections and uses an off-shell renormalisation scheme. We show for scalar $\phi^3$ theory in six dimensions that there are further classes of soft collinear divergences and that they do not cancel. Furthermore, they yield a non-convergent series of terms at a fixed order of perturbation theory. Similar effects in gauge theories are also summarised.

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